L=2w+2
A=24 sqr. meters
The formula for the area is:
A=lw
Substitute
24 sqr. meters=(2w+2)(w)
Distribute the w
24=2w²+2w
0=2w²+2w-24
Divide both sides by 2
0=w²+w-12
Factor
0=(w+4)(w-3)
width=3 m(not -4 because there is no negative length)
Substitute
L=2(3)+2
L=8 m
Hope this helps =)
